Least Common Multiple of 63/462, 8598/4296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/462, 8598/4296 quickly i.e. 30093 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/462, 8598/4296 is 30093.

LCM(63/462, 8598/4296) = 30093

LCM of 63/462, 8598/4296

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 63/462,8598/4296

Given numbers are 63/462,8598/4296

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 63,8598

Least Common Multiple of Numerators i.e. LCM of 63,8598 is 180558.

GCF of Denominators means GCF of 462,4296 as per the given fractions.

GCF of 462,4296 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,8598

LCM of Fractions 63/462,8598/4296 is 30093

3 63, 8598
21, 2866

∴ So the LCM of the given numbers is 3 x 21 x 2866 = 180558

Least Common Multiple of 63,8598 with GCF Formula

Least Common Multiple of 63,8598 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 63,8598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,8598) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(63,8598) x common factors =3 x 1 = 3

LCM(63,8598) = ( 63 × 8598 ) / 3

LCM(63,8598) = 541674 / 3

LCM(63,8598) = 180558


Lets's calculate GCF of 462,4296

2 462, 4296
3 231, 2148
77, 716

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180558/6

Therefore the LCM of Fractions 63/462,8598/4296 is 30093

Greatest Common Factor of 462,4296 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,4296 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 4296

List of positive integer factors of 4296 that divides 4296 without a remainder.

1,2,3,4,6,8,12,24,179,358,537,716,1074,1432,2148,4296

Greatest Common Factor

We found the factors 462,4296 . The biggest common factor number is the GCF number.
So the greatest common factor 462,4296 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 63/462, 8598/4296

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 63/462, 8598/4296?

Answer: LCM of Numerators as per given numbers 63/462, 8598/4296 is

LCM of Numerators i.e. for 63,8598 is 180558

GCF of denominators i.e. for 462,4296 is 6.

Thus, LCM of Fractions is 30093.Finally, LCM of Fractions for 63/462, 8598/4296 is 30093.